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scoundrel [369]
2 years ago
8

Verify cos^4x-sin^4x=cos2x

Mathematics
1 answer:
kati45 [8]2 years ago
7 0
A^2 - b^2 = (a - b)( a +b);
<span>cos^4x-sin^4x =( cos^2x + sin^2x )( cos^2x - sin^2x) = 1* cos2x = co2x.</span>
You might be interested in
People tend to evaluate the quality of their lives relative to others around them (Frieswijk et al., 2004). In one study, resear
Alborosie

Answer:

Step-by-step explanation:

Hello!

Research.

n=9 frail elderly were interview and compared to a fictitious person who was worse off then the interviewee, a life-satisfaction score was determined for each person.

18, 23, 24, 22, 19, 27, 23, 26, 25

Assuming that the population average score is μ= 20, the researchers think that the elderly in the sample are more or less satisfied than others in the general population.

a. You have the information of one sample, assuming this sample has a normal distribution and each elderly interviewed is independent, then the t-test of choice is a one-sample t-test.

b. and c. If you say that the elderly are "more or less" satisfied than the others, this means that they are either as satisfied as to the general population or not satisfied as to the general population. Symbolically:

H₀: μ = 20

H₁: μ ≠ 20

This is a two-tailed test, meaning, you will have two critical regions.

d.  

α: 0.05

Left critical value: t_{n-1;/\alpha 2} = t_{8; 0.025}= -2.306

Right critical value: t_{n-1;1-\alpha /2} = t_{8;0.975} = 2.306

e.

t_{H_0}= \frac{X[bar]-Mu}{\frac{S}{\sqrt{n} } } ~t_{n-1}

X[bar]= 23

S= 3

t_{H_0}= \frac{23-20}{\frac{3}{\sqrt{9} } }= 3

f.

Considering that the calculated t-value is greater than the right critical value, the decision is to reject the null hypothesis, so using a significance level of 5% you can conclude that the average life-satisfaction score of the elderly is different than 20.

I hope it helps!

7 0
3 years ago
It's very urgent plss answer
Lesechka [4]

The solution of the equation 4p – [(2p – 3) / 2] = 6 with variable p will be 1.5.

<h3>What is the solution of the equation?</h3>

The solution of the equation means the value of the unknown or variable.

The equation is given below.

4p – [(2p – 3) / 2] = 6

On simplifying, we have

(8p – 2p + 3) / 2 = 6

               6p + 3 = 12

                     6p = 9

                       p = 1.5

More about the solution of the equation link is given below.

brainly.com/question/545403

#SPJ1

8 0
1 year ago
DECIMALS
s344n2d4d5 [400]

Answer:

154

Step-by-step explanation:

86.192 and 68.36 rounded up to the nearest whole is 86 plus 68 would be 154

4 0
2 years ago
Please help answer need help pllllease
Natalka [10]
The answer is 24 I think
3 0
3 years ago
Someone solve this please.
Archy [21]

Answer:

16x+2

Step-by-step explanation:

Perimeter- Length+width x2

(6x+4+2x-3)2

(8x+1)2

16x+2

6 0
2 years ago
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